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Simplifying 27 + -5x = 13 + -7x Solving 27 + -5x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 27 + -5x + 7x = 13 + -7x + 7x Combine like terms: -5x + 7x = 2x 27 + 2x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 27 + 2x = 13 + 0 27 + 2x = 13 Add '-27' to each side of the equation. 27 + -27 + 2x = 13 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 13 + -27 2x = 13 + -27 Combine like terms: 13 + -27 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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